Based on historical data, your manager believes that 39% of the company's orders come from first-time customers. A random sample of 171 orders will be used to estimate the proportion of first-time-customers. What is the probability that the sample proportion is between 0.21 and 0.32

And we can find the probability with this difference:

Step-by-step explanation:

For this case we have the following info given:

represent the sample size

the proportion of interest

We want to find the following probability:

We can use the normal approximation for this case since np >10 and n (1-p) >10

For this case we know that the distribution for the sample proportion is given by:

And we can use the following parameters:

And we can apply the z score formula given by:

And using this formula we got:

And we can find the probability with this difference:

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step-by-step explanation:

i believe your answer is 99.7% of 7-year-old children are between 46.6 inches and 49.5 inches tall.